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Question: The locus of the mid points of the chord of the circle x<sup>2</sup> + y<sup>2</sup> = 4 which subt...

The locus of the mid points of the chord of the circle

x2 + y2 = 4 which subtends a right angle at the origin is –

A

x + y = 2

B

x2 + y2 = 1

C

x2 + y2 = 2

D

x + y = 1

Answer

x2 + y2 = 2

Explanation

Solution

h2+k22\frac{\sqrt{h^{2} + k^{2}}}{2} = cos45°

Ž h2 + k2 = 4 × 12\frac{1}{2}

Ž h2 + k2 = 2

Locus x2 + y2 = 2